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Nonlinear Dynamics
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Definition of 'Nonlinear Dynamics'

The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.

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Saturday, November 21, 2009

Predicting the unpredictable: weighted averaging of past stimulus timing facilitates ocular pursuit of randomly timed stimuli.

19 Oct 2009 In motor control, prediction of future events is vital for overcoming sensory-motor processing delays and facilitating rapid and accurate responses in a dynamic environment. In human ocular pursuit this is so pervasive that prediction of future ... Read more...


Embedding multiple trajectories in simulated recurrent neural networks in a self-organizing manner.

19 Oct 2009 Complex neural dynamics produced by the recurrent architecture of neocortical circuits is critical to the cortex's computational power. However, the synaptic learning rules underlying the creation of stable propagation and reproducible neural ... Read more...


Spatiotemporal distortions of visual perception at the time of saccades.

19 Oct 2009 Both space and time are grossly distorted during saccades. Here we show that the two distortions are strongly linked, and that both could be a consequence of the transient remapping mechanisms that affect visual neurons perisaccadically. We measured ... Read more...

 

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Technical information about 'Nonlinear Dynamics'

Definition: The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.

Descriptor UI: D017711

Alternative terms: Nonlinear Dynamics; Dynamics, Nonlinear; Nonlinear Dynamic; Non-linear Dynamics; Dynamics, Non-linear; Non linear Dynamics; Non-linear Dynamic; Chaos Theory; Chaos Theories; Theories, Chaos; Theory, Chaos; Models, Nonlinear; Model, Nonlinear; Nonlinear Model; Nonlinear Models; Non-linear Models; Model, Non-linear; Models, Non-linear; Non linear Models; Non-linear Model;

Related Mesh Headings: Fractals;

Allowable Qualifiers: history;

Tree Number: E05.599.850; H01.548.675;

History Note: 94

Technical Notes: a math principle applied to theoret models

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